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Finding the Fourth Proportional to 7,096.12, 9,792.06 and 3,952

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Solution

The fourth proportional to 7,096.12, 9,792.06 and 3,952 is: 5,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.12 : 9,792.06 = 3,952 : x
  2. Step 2: Convert to fraction form
    7,096.12/9,792.06 = 3,952/x
  3. Step 3: Cross multiply
    7,096.12x = 9,792.06 × 3,952
  4. Step 4: Simplify right side
    7,096.12x = 38,698,221.12
  5. Step 5: Solve for x
    x = 38,698,221.12/7,096.12
  6. Step 6: Final answer
    x = 5,453.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.